Forward Dynamic Analysis of a Spatial Four-Bar Linkage

Mai-Anh PhamFaculty of Basic Sciences, Hanoi University of Mining and Geology, HaNoi, VietNam

Vol 10 No 6 (2026): Volume 10, Issue 6, June 2026 | Pages: 55-59

International Research Journal of Innovations in Engineering and Technology

OPEN ACCESS | Research Article | Published Date: 06-06-2026

doi Logo doi.org/10.47001/IRJIET/2026.106005

Abstract

This paper presents an approach for the inverse dynamic analysis of a spatial four-bar linkage mechanism. By employing the Lagrange multiplier formulation with redundant generalized coordinates for closed-loop mechanical systems, expressed in both analytical and matrix forms, and combining it with the orthogonal projection method for establishing coordinate systems, the equations of motion of the mechanism are derived. Based on these equations, the driving torque applied to the input link is determined. The obtained results can be used for the analysis and design of mechanical systems with similar configurations, such as shaper mechanisms, hydraulic presses, and related machinery.

Keywords

inverse dynamics; spatial linkage mechanism; Lagrange multiplier formulation; orthogonal projection method; air compressor.


Citation of this Article

Mai-Anh Pham. (2026). Forward Dynamic Analysis of a Spatial Four-Bar Linkage. International Research Journal of Innovations in Engineering and Technology - IRJIET, 10(6), 55-59. Article DOI https://doi.org/10.47001/IRJIET/2026.106005

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